| Presentation | 2003/7/16 Asymptotic Analysis of Weight Distribution for Detailedly Represented Irregular LDPC Code Ensembles Ryoji IKEGAYA, Kenta KASAI, Tomoharu SHIBUYA, Kohichi SAKANIWA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Burshtein and Miller provided an asymptotic estimation of the exponent of the average weight distribution for conventional irregular LDPC ensembles defined by Richardson et al., which are based on bipartite graphs. This estimation is derived by the asymptotic estimation of the exponent of a coefficient in multinomials with non-negative coefficients. In this paper, we employ Burshtein's method to provide an asymptotic estimation of the exponent of the average weight distribution for detailedly represented irregular LDPC ensembles. Moreover, we present numerical examples which show the relation between the exponent of the average weight distribution for conventional and detailedly represented ensemble, and provide an example of code ensemble which has larger typical minimum distance than given conventional ensemble has. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | low-density parity-check codes / bipartite graphs / weight distribution / typical minimum distance |
| Paper # | IT2003-26 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2003/7/16(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Asymptotic Analysis of Weight Distribution for Detailedly Represented Irregular LDPC Code Ensembles |
| Sub Title (in English) | |
| Keyword(1) | low-density parity-check codes |
| Keyword(2) | bipartite graphs |
| Keyword(3) | weight distribution |
| Keyword(4) | typical minimum distance |
| 1st Author's Name | Ryoji IKEGAYA |
| 1st Author's Affiliation | Department of Communications and Integrated Systems, Tokyo Institute of Technology() |
| 2nd Author's Name | Kenta KASAI |
| 2nd Author's Affiliation | Department of Communications and Integrated Systems, Tokyo Institute of Technology |
| 3rd Author's Name | Tomoharu SHIBUYA |
| 3rd Author's Affiliation | Department of Research and Development, National Institute of Multimedia Education |
| 4th Author's Name | Kohichi SAKANIWA |
| 4th Author's Affiliation | Department of Communications and Integrated Systems, Tokyo Institute of Technology |
| Date | 2003/7/16 |
| Paper # | IT2003-26 |
| Volume (vol) | vol.103 |
| Number (no) | 215 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |